401552191040 has 896 divisors, whose sum is σ = 1396804082688. Its totient is φ = 105743646720.

The previous prime is 401552190997. The next prime is 401552191111. The reversal of 401552191040 is 40191255104.

It is a super-2 number, since 2×401552191040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 401552190988 and 401552191006.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201480284 + ... + 201482276.

It is an arithmetic number, because the mean of its divisors is an integer number (1558933128).

Almost surely, 2^401552191040 is an apocalyptic number.

401552191040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401552191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698402041344).

401552191040 is an abundant number, since it is smaller than the sum of its proper divisors (995251891648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401552191040 is a wasteful number, since it uses less digits than its factorization.

401552191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 401552191040 in words is "four hundred one billion, five hundred fifty-two million, one hundred ninety-one thousand, forty".